823 prompts matching "Showing a set is not closed by a single counter-example"
Showing only prompts that state their year. 35 more in this subject don't name one, so choose All years to see them.
Quiz me on probability with combinations
Act as my SS2 Further Maths tutor. Quiz me with four probability problems that require com
Explain combinatorial probability back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to set up a probabilit
Teach me how to the general term formula of a binomial expansion
You are my SS2 Further Mathematics tutor. Teach me the general term formula of a binomial
Worked example: finding the middle term of a binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the middle ter
Worked example: evaluating a power using binomial expansion
Act as my SS2 Further Maths tutor. Show me a full worked example of using the binomial exp
Explain surds back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to simplify and ration
Worked example: solving an equation with logarithms to the same base
Act as my SS2 Further Mathematics tutor. Take me through one full worked example on solvin
Teach me changing the base of a logarithm
Act as my SS2 Further Maths tutor. Teach me the change of base formula for logarithms and
Worked example: finding where a line meets a circle
Act as my SS2 Further Maths tutor. Show me a full worked example of finding where a straig
Quiz me on coordinate geometry basics
Act as my SS2 Further Maths tutor. Quiz me with five coordinate geometry questions coverin
Explain coordinate geometry back to me
Act as my SS2 Further Maths tutor. I'll explain in my own words how to find the equation o
Worked example: proving a trigonometric identity
Act as my SS2 Further Maths tutor. Show me a full worked example of proving a trigonometri
Worked example: solving a quadratic trigonometric equation
Act as my SS2 Further Maths tutor. Show me a full worked example of solving a trigonometri
Teach me geometric progressions
Act as my SS2 Further Maths tutor. Teach me the formulas for the nth term and the sum of t
Worked example: sum to infinity of a geometric series
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the sum to inf
Quiz me on arithmetic and geometric progressions
Act as my SS2 Further Maths tutor. Quiz me with five questions mixing arithmetic and geome
Worked example: finding and classifying a stationary point
Act as my SS2 Further Maths tutor. Show me a full worked example of finding the stationary
Teach me adding and subtracting complex numbers
Act as my SS2 Further Maths tutor. Teach me how to add and subtract complex numbers by com
Teach me multiplying two complex numbers in the form a plus bi
You are my SS2 Further Mathematics tutor. Teach me multiplying two complex numbers in the
Teach me the finding the modulus of a complex number
You are my SS2 Further Mathematics tutor. Teach me finding the modulus of a complex number